In either case, oil is expected to retrace further over the next few days. Only a rise above $69.87 could confirm the continuation of the uptrend towards $71.38.
Forties is normally the largest or second-largest of the five crude grades that underpins Brent, loading as many as 15 cargoes in a month. The other four grades are Ekofisk, Oseberg, Troll and Brent itself.
"It's going to be a tiny programme," one of the sources said, adding that the Hound Point terminal where Forties cargoes load would be closed for most of June.
India on Wednesday reported its highest one-day tally of new infections and deaths and said a new "double mutant" variant of the coronavirus had been found.
Germany, France and Italy plan to suspend AstraZeneca PLC COVID-19 injections after reports of possible serious side effects, although the World Health Organization said there was no established link to the vaccine.
Crude has been on the rise for weeks as Biden pushes his $1.9 trillion rescue package, which includes big cash handouts and a hike in the minimum wage.